Step 1:

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The curve equation is $\"image\"$ .

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Let the coordinates of $\"image\"$ be $\"image\"$ .

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Substitute $\"image\"$ in $\"image\"$ .

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$\"image\"$ .

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$\"image\"$ $\"\"$ .

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Step 2:

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$\"image\"$

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Differentiating with respect to $\"image\"$ .

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$\"image\"$

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$\"image\"$

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$\"image\"$ .

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$\"image\"$ is slope of the tangent line.

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$\"image\"$ ----> equation (1)

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The line passes through $\"\"$ .

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Slope between $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$ ------> (2)

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Step 3:

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From the equations (1) and (2).

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$\"image\"$

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$\"image\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"image\"$

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$\"image\"$ and $\"image\"$

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$\"image\"$ and $\"image\"$

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When $\"image\"$ then $\"image\"$

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$\"image\"$

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When $\"image\"$ then $\"image\"$

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$\"image\"$

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Solution:

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Coordinates of $\"image\"$ are $\"image\"$ and $\"image\"$ .